International Journals of Multidisciplinary
Research Academy (IJMRA)

Abstract:
It is known that strictly pseudocontractive mappings have more powerful applications than nonexpansive mappings in solving inverse problems. In this paper, we devote to study computing the fixed points of strictly pseudocontractive mappings The purpose of this paper is to study the existence of uniqueness of fixed point for a class of nonlinear mappings defined on real Hilbert space, which among others, contains the class of set of contractive mappings
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Abstract:
The relation between the nanofluids properties is determined by using a heater mounted on a cavity wall. The base fluid is considered as water. The present study is focused on forced convection heat transfer from square heater subject to inflow and outflow inside a square cavity. The behaviorial physics will be reported in connection with volume fraction, Reynolds number and nanomaterial properties. It is noted that the local heat transfer is increased for a particular Reynolds number when nanomaterial is introduced.ConstantNusselt number attributed by the wall vortex. It is also found that we get high Nusselt number when the heater wall is subject to combination of vortex and main stream fluid rather than heat transfer due to wall attached vortices. For the same Reynolds number,nano fluid results high Nusselt number.
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Abstract:
Dyes, phenols, pesticides, fertilizers, detergents and many other chemical products are disposed off directly into the environment, without being treated and without an effective treatment strategy, which creates water pollution. This problem can be solved by photocatalytic degradation. Photoassisted mineralization of Amaranth was carried out using iron containing Well-Dawson Heteropoly anion with visible light. In the present investigation, the effect of various operational parameters like effect of pH, concentration of dye, amount of semiconductor and light intensity were studied. Kinetic studies reveal that the photocatalytic degradation follows pseudo-first order kinetics. A tentative mechanism for the photocatalytic degradation of Amaranth has been proposed. Keywords:- Water pollution, Photoassisted Mineralization, Photocatalytic degradation, Amaranth, Well-Dawson Heteropoly anion
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Abstract:
In this paper ,we investigate the second order nonlinear perturbed functional random differential equation. Prove the existence of random solution through Leray- Schauder fixed point theorem.
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Abstract:
Response of Lemna minor, to hormones, biomarkers and enzymes towards various Light and Dark cycles was studied in Hogland‟s nutrient solution. Gibberellic acid 1.0 mg/lit had a remarkable effect in retarding the chlorophyll destruction, where kinetin had no effect on the retention of chlorophyll in any condition used. GA3 treated plants enhanced the cell division and delayed the senenscence over kinetin which affected the frond multiplication. The effect of darkness is abolished by brief light exposures on biomarkers like frond weights, protein, Chlorophyll content which is clearly showed in catalase and peroxidase activity at various Light-Dark cycles. LD cycles in model A (continuous L&D) showed the adverse effect on chlorophyll contents. Chl b showed a steady decline with decreasing dark periods where as Chl-a is linearly increased. In model B, under treatments of LDCs, the content of Chl-a, Chl-b and Chl-total showed a decline order in comparison with control (1 /4 L / 223 /4D), no matter increasing their fresh weights. Protein content increased in fronds is unaffected after various LD interruptions.
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Abstract:
Dominating functions in domination theory of graphs have interesting applications. The theory of domination in graphs was introduced by Ore [7] and Berge [1]. The concepts of dominating functions are introduced by Hedetniemi [6]. Rooted product graphs is a new concept introduced by Godsil [5] has become an inviting area of research at present. Anantha Lakshmi [15] has introduced new concepts of unidominating function of a graph and studied these functions for some standard graphs. In this paper the authors have presented unidominating function and unidomination number for rooted product graph of a path and cycle graph.
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Abstract:
A range set D in G∘ 𝐻 is a girth 2-dominating set of G∘ 𝐻 if every vertex in V-D is adjacent to atleast two vertex of girth graph is called the Irredundant girth 2-dominating set . the matching number is the maximum cardinality of a matching of G, while the irredundant girth 2-domination number of G∘ 𝐻 is the minimum cardinality taken over all irredundant girth 2- domination number and is denoted by 𝛾𝑚2𝑖𝑟𝑔 (G ∘ 𝐻).
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Abstract:
In this paper, the bifurcation examination for Burgers mapping has been considered using Schur-Cohn criterion. The existence and stability of the fixed points of this map is derived. The bifurcations of periodic points and the states of presence for pitchfork bifurcation, flip bifurcations are determined by utilizing Schur-Cohn criterion. The numerical reenactments not just demonstrate the consistence with the hypothetical examination yet in addition show the complex dynamical practices. Additionally chaos is controlled utilizing OGY method.
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Abstract:
In this paper we study the relationship between a very classical algebraic object associated to a filtration of topological spaces, namely a spectral sequence, and a more recently invented object that has found many applications – namely, its persistent homology groups. We show the existence of a long exact sequence of groups linking these two objects and using it derive formulas expressing the dimensions of each individual groups of one object in terms of the dimensions of the groups in the other object. The main tool used to mediate between these objects is the notion of exact couples first introduced by Massey in 1952.
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